2003256000 has 168 divisors, whose sum is σ = 7166238144. Its totient is φ = 534182400.

The previous prime is 2003255993. The next prime is 2003256011. The reversal of 2003256000 is 6523002.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58089 + ... + 85911.

Almost surely, 2^2003256000 is an apocalyptic number.

2003256000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2003256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3583119072).

2003256000 is an abundant number, since it is smaller than the sum of its proper divisors (5162982144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2003256000 is a wasteful number, since it uses less digits than its factorization.

2003256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27856 (or 27833 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2003256000 is about 44757.7479326206. The cubic root of 2003256000 is about 1260.6043963560.

Adding to 2003256000 its reverse (6523002), we get a palindrome (2009779002).

The spelling of 2003256000 in words is "two billion, three million, two hundred fifty-six thousand".